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Simplifying 6x + -1(2x + 3) = 4(2x + -1) + 5 Reorder the terms: 6x + -1(3 + 2x) = 4(2x + -1) + 5 6x + (3 * -1 + 2x * -1) = 4(2x + -1) + 5 6x + (-3 + -2x) = 4(2x + -1) + 5 Reorder the terms: -3 + 6x + -2x = 4(2x + -1) + 5 Combine like terms: 6x + -2x = 4x -3 + 4x = 4(2x + -1) + 5 Reorder the terms: -3 + 4x = 4(-1 + 2x) + 5 -3 + 4x = (-1 * 4 + 2x * 4) + 5 -3 + 4x = (-4 + 8x) + 5 Reorder the terms: -3 + 4x = -4 + 5 + 8x Combine like terms: -4 + 5 = 1 -3 + 4x = 1 + 8x Solving -3 + 4x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 4x + -8x = 1 + 8x + -8x Combine like terms: 4x + -8x = -4x -3 + -4x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -4x = 1 + 0 -3 + -4x = 1 Add '3' to each side of the equation. -3 + 3 + -4x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 1 + 3 -4x = 1 + 3 Combine like terms: 1 + 3 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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